Least Common Multiple of 653/320, 381/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 653/320, 381/894 quickly i.e. 248793/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 653/320, 381/894 is 248793/2.

LCM(653/320, 381/894) = 248793/2

LCM of 653/320, 381/894

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 653/320,381/894

Given numbers are 653/320,381/894

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 653,381

Least Common Multiple of Numerators i.e. LCM of 653,381 is 248793.

GCF of Denominators means GCF of 320,894 as per the given fractions.

GCF of 320,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 653,381

LCM of Fractions 653/320,381/894 is 248793/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 248793

Least Common Multiple of 653,381 with GCF Formula

Least Common Multiple of 653,381 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 653,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,381) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(653,381) x common factors =1 x 1 = 1

LCM(653,381) = ( 653 × 381 ) / 1

LCM(653,381) = 248793 / 1

LCM(653,381) = 248793


Lets's calculate GCF of 320,894

2 320, 894
160, 447

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248793/2

Therefore the LCM of Fractions 653/320,381/894 is 248793/2

Greatest Common Factor of 320,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,894 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 320,894 . The biggest common factor number is the GCF number.
So the greatest common factor 320,894 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 653/320, 381/894

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 653/320, 381/894?

Answer: LCM of Numerators as per given numbers 653/320, 381/894 is

LCM of Numerators i.e. for 653,381 is 248793

GCF of denominators i.e. for 320,894 is 2.

Thus, LCM of Fractions is 248793/2.Finally, LCM of Fractions for 653/320, 381/894 is 248793/2.